Position vector of a point Assignment Help

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Position vector of a point:

 

We take arbitrarily any point O in space to be called as origin of reference. The position vector (p.v.) of any point P, with respect to origin is vector 1004_Position vector of a point3.png.  For any 2 points P and Q in space, the equality 245_Position vector of a point2.png expresses any vector 1532_Position vector of a point5.png in terms of position vectors 2294_Position vector of a point4.pngand 1004_Position vector of a point3.pngof P and Q respectively.

 

 

 1855_Position vector of a point.png

Angle between two vectors:

It can be defined as the smaller angle formed when the initial points or terminal points of 2 vectors are brought together.

 

Note:

  • 0° ≤ θ ≤ 180°

1937_Position vector of a point1.png

 

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